view +multiblock/Laplace.m @ 1198:2924b3a9b921 feature/d2_compatible

Add OpSet for fully compatible D2Variable, created from regular D2Variable by replacing d1 by first row of D1. Formal reduction by one order of accuracy at the boundary point.
author Martin Almquist <malmquist@stanford.edu>
date Fri, 16 Aug 2019 14:30:28 -0700
parents 23ad69a347dd
children
line wrap: on
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classdef Laplace < scheme.Scheme
    properties
        grid
        order
        mbDiffOp

        D
        H
        J
    end
    methods
        function obj = Laplace(g, order, a, b, opGen)
            default_arg('order', 4);
            default_arg('a', 1);
            default_arg('b', 1);
            default_arg('opGen', @sbp.D4Variable);

            obj.grid = g;
            obj.order = order;
            obj.mbDiffOp = multiblock.DiffOp(@scheme.LaplaceCurvilinear, obj.grid, order, {a,b,opGen});

            obj.D = obj.mbDiffOp.D;
            obj.J = obj.jacobian();
            obj.H = obj.mbDiffOp.H;
        end

        function s = size(obj)
            s = size(obj.mbDiffOp);
        end

        function J = jacobian(obj)
            N = obj.grid.nBlocks;
            J = cell(N,N);

            for i = 1:N
                J{i,i} = obj.mbDiffOp.diffOps{i}.J;
            end
            J = blockmatrix.toMatrix(J);
        end

        function op = getBoundaryOperator(obj, opName, boundary)
            op = getBoundaryOperator(obj.mbDiffOp, opName, boundary);
        end

        function op = getBoundaryQuadrature(obj, boundary)
            op = getBoundaryQuadrature(obj.mbDiffOp, boundary);
        end

        function [closure, penalty] = boundary_condition(obj,boundary,type) % TODO: Change name to boundaryCondition
            [closure, penalty] = boundary_condition(obj.mbDiffOp, boundary, type);
        end
        function [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary)
            error('Not implemented')
        end
    end
end